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Teoreticheskaya i Matematicheskaya Fizika, 2023, Volume 217, Number 1, Pages 86–97
DOI: https://doi.org/10.4213/tmf10477 (Mi tmf10477) 		 
Scaling violation and the appearance of mass in scalar quantum field theories

A. L. Pismenskiia, Yu. M. Pis'makb

a Saint Petersburg Electrotechnical University "LETI", St. Petersburg, Russia
b Saint Petersburg State University, St. Petersburg, Russia
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DOI: https://doi.org/10.4213/tmf10477
Abstract: In massless quantum field theories, scale invariance is violated in logarithmic dimensions. We discuss options for interpreting this effect as spontaneous mass emergence in the framework of skeleton self-consistency equations with the full propagator in the φ3, φ4, and φ6 models of a scalar field φ.
Keywords: scaling violation, appearance of mass.
Received: 10.02.2023
Revised: 05.05.2023
English version:
Theoretical and Mathematical Physics, 2023, Volume 217, Issue 1, Pages 1495–1504
DOI: https://doi.org/10.1134/S0040577923100069
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. L. Pismenskii, Yu. M. Pis'mak, “Scaling violation and the appearance of mass in scalar quantum field theories”, TMF, 217:1 (2023), 86–97; Theoret. and Math. Phys., 217:1 (2023), 1495–1504
Citation in format AMSBIB
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\by A.~L.~Pismenskii, Yu.~M.~Pis'mak
\paper Scaling violation and the~appearance of mass in scalar quantum field theories
\jour TMF
\yr 2023
\vol 217
\issue 1
\pages 86--97
\mathnet{http://mi.mathnet.ru/tmf10477}
\crossref{https://doi.org/10.4213/tmf10477}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4658814}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2023TMP...217.1495P}
\transl
\jour Theoret. and Math. Phys.
\yr 2023
\vol 217
\issue 1
\pages 1495--1504
\crossref{https://doi.org/10.1134/S0040577923100069}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85174592969}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:30
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